But it looks like that child died.
With regard to the other births I mentioned, you can get digital images for £3 each.
1857 Sept quarter Sunderland vol 10A, pg 372
Henry Bailey Thompson mmn Cornwell
1859 June quarter, Manchester vol 08D, pg 178
Robert Cornwall Bailey
It is a bit of a mystery why Henry was registered and baptised with the Thompson surname. Perhaps Thompson should have been a middle name and one was an error but both records seems odd.
These births fit with the well documented published family trees where Henry Bailey’s birth has mistakenly been recorded as the Audenshaw birth with mother Corden/Carden,